Answer:
Step-by-step explanation:
We have a geometric sequence with:
,
, and
Where
Sn is the sum of the sequence
r is the common ratio
is the first term in the sequence
n is the number of terms in the sequence
The formula to calculate the sum of a finite geometric sequence is:
Then:
Now we solve for
Answer:
25% of 30% of 400 = 30
33% decrease in value
Step-by-step explanation:
You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.
Method 1:
30% of 400 = 0.3 of 400 = 0.3 * 400 = 120
25% of 120 = .25 of 120 = .25 * 120 = 30
Method 2:
30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400
7.5% of 400 = 0.075 of 400 = 0.075 * 400 = 30
5.) To find the percentage of the new price, you can build the equation below.
The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.
Answer:
D.
Step-by-step explanation:
The equation given takes the point-slope form which is, . Where,
(a, b) = (x, y) coordinates of a point on the line.
m = slope of the line .
To find which graph has a line equation of , look for the points which will give you something almost exactly as the equation if you substitute their values into
.
Let's consider option D.
We have a given point (1, 2). a = 1, b = 2.
Substitute these into
We have:
As you can see, this looks almost exactly as
.
If you want to be certain that option D is the answer, find m by using the coordinates of any other point on the line and plug into to find m:
In graph D, let's take the points (0, -1)
Divide both sides by -1
3 = m
m = 3.
Therefore, option D is the graph of the line .